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Well-posedness of the Dirichlet and Poincaré problems for a multidimensional Gellerstedt equation in a cylindrical domain

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We prove the unique solvability of the Dirichlet and Poincaré problems for a multidimensional Gellerstedt equation in a cylindrical domain. We also obtain a criterion for the unique solvability of these problems.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Informatics, Aktyubinsk State University, Aktyubinsk, Kazakhstan

    S. A. Aldashev

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  1. S. A. Aldashev
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 3, pp. 426–432, March, 2012.

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Aldashev, S.A. Well-posedness of the Dirichlet and Poincaré problems for a multidimensional Gellerstedt equation in a cylindrical domain. Ukr Math J 64, 484–490 (2012). https://doi.org/10.1007/s11253-012-0660-y

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  • DOI: https://doi.org/10.1007/s11253-012-0660-y

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